Conn. Gen. Stat. § 27-13: Recognition and regulation of units of unorganized militia.

To the extent permitted by the Constitution of the United States, the Governor may, at any time, order, authorize or recognize such organizations of the unorganized militia, or of designated classes thereof, or of volunteers therefrom, as he deems to be for the public interest, and may prescribe therefor such parts of the regulations governing the organized militia as may be applicable thereto or establish such regulations therefor, as he may deem proper. The Governor may, at any time, provide for a separate organization, or authorize the enlistment in organizations of the unorganized militia, of all persons volunteering for such service, not otherwise subject to military duty under section 27-1.